Atkin-Lehner |
2- 7- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
93002r |
Isogeny class |
Conductor |
93002 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-800299322368 = -1 · 210 · 77 · 13 · 73 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -5 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1861,-29807] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-415:1] [22:137:1] |
Generators of the group modulo torsion |
j |
6058428767/6802432 |
j-invariant |
L |
9.7621913568053 |
L(r)(E,1)/r! |
Ω |
0.48241790288673 |
Real period |
R |
0.5058991020887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13286i1 |
Quadratic twists by: -7 |